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Simultaneous approximation in negative norms of arbitrary order. (English) Zbl 0495.41010


MSC:

41A28 Simultaneous approximation
41A25 Rate of convergence, degree of approximation
41A50 Best approximation, Chebyshev systems

Citations:

Zbl 0404.41005
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References:

[1] I. BABUSKA and A. K. AZIZ, Survey lectures on the mathematical foundations of the finite element method. In: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations. Part I. (Ed. A. K. Aziz) Academic Press, New York, London, 1972. Zbl0268.65052 MR421106 · Zbl 0268.65052
[2] J. H. BRAMBLE and A. H. SCHATZ, Least squares methods for 2 m th order elliptic boundary-value problems, Math. Comp., 25 (1971), 1-32. Zbl0216.49202 MR295591 · Zbl 0216.49202 · doi:10.2307/2005129
[3] J. H. BRAMBLE, A. H. SCHATZ, V. THOMÉE and L. H. WAHLBIN, Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations, SIAM J. Numer. Analysis, 14 (1977), 218-241. Zbl0364.65084 MR448926 · Zbl 0364.65084 · doi:10.1137/0714015
[4] J. H. BRAMBLE and R. SCOTT, Simultaneous approximation in scales of Banach spaces, Math. Comp. 32 (1978), 947-954. Zbl0404.41005 MR501990 · Zbl 0404.41005 · doi:10.2307/2006327
[5] S. G. KREIN, Linear Differential Equations in Banach space, American Math. Soc., Providence, 1971. Zbl0229.34050 MR342804 · Zbl 0229.34050
[6] J. L. LIONS and E. MAGENES, Nonhomogeneous Boundary Value Problems and Applications, Vol. I, Springer Verlag, Berlin and New York, 1972. Zbl0223.35039 · Zbl 0223.35039
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